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Advances in High Energy Physics
Volume 2014, Article ID 629148, 7 pages
http://dx.doi.org/10.1155/2014/629148
Research Article

Towards Thermodynamics with Generalized Uncertainty Principle

1Center for Fundamental Physics, Zewail City of Science and Technology, Giza 12588, Egypt
2Department of Physics, Faculty of Sciences, Benha University, Benha 13518, Egypt

Received 9 December 2013; Revised 12 January 2014; Accepted 13 January 2014; Published 25 February 2014

Academic Editor: Elias C. Vagenas

Copyright © 2014 Ahmed Farag Ali and Mohamed Moussa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

Various frameworks of quantum gravity predict a modification in the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Introducing quantum gravity effect makes a considerable change in the density of states inside the volume of the phase space which changes the statistical and thermodynamical properties of any physical system. In this paper we investigate the modification in thermodynamic properties of ideal gases and photon gas. The partition function is calculated and using it we calculated a considerable growth in the thermodynamical functions for these considered systems. The growth may happen due to an additional repulsive force between constitutes of gases which may be due to the existence of GUP, hence predicting a considerable increase in the entropy of the system. Besides, by applying GUP on an ideal gas in a trapped potential, it is found that GUP assumes a minimum measurable value of thermal wavelength of particles which agrees with discrete nature of the space that has been derived in previous studies from the GUP.